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Interacting cosmological viscous fluid with Little Rip and Pseudo Rip solutions in $f (R)$ $f (R)$ gravity

R. D. Boko

Institut de Mathématiques et de Sciences Physiques (IMSP), 01 BP 613, Porto-Novo, Bénin

E-mail Address: docenzi@yahoo.fr

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M. J. S. Houndjo

Institut de Mathématiques et de Sciences Physiques (IMSP), 01 BP 613, Porto-Novo, Bénin

Faculté des Sciences et Techniques de Natitingou, Université de Parakou, Bénin

E-mail Address: sthoundjo@yahoo.fr

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, and

J. Tossa

Institut de Mathématiques et de Sciences Physiques (IMSP), 01 BP 613, Porto-Novo, Bénin

E-mail Address: joel.tossa@imsp-uac.org

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https://doi.org/10.1142/S0219887818500287Cited by:6 (Source: Crossref)

Abstract

In this paper, we investigate the evolution of the equation of state of the interacting viscous dark energy in $f (R)$ gravity. We first consider the case when the dark energy does not interact with the dark matter and after, the case where there is a coupling between these dark components. The viscosity and the interaction between the two fluids are parameterized by constants $ξ$ and $δ$ respectively for which a detailed investigation on the cosmological implications has been done. In the later part of the paper, we explore some bulk viscosity models with Little and Pseudo Rip infinite time singularities within $f (R)$ modified gravity. We obtain analytic expressions for characteristic properties of these cosmological models.

Keywords:

AMSC: 83C05, 83C10, 83C40, 83F05, 83B05

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